So it seems the problem everyone is agreed on is the coaches pick scenario. The coaches are not going to let that go, so how about we find some kind of healthy medium where we still allow the coaches the freedom to pick their crews, but we require a number of qualifiers to that? Something like others have described above.
I really like Cope's suggestion about the 'graduation' process. If an official/crew is selected for rd 1 in a given year, then next year, he/they are available for selection in rd 2. I think this has merit(pun intended) and is a great way to showcase good up-and-coming or not-usually-seen talent from all levels. You prove yourself at every step of the way. It's very similar to how schools go from being a terrible team one season to district champs to area champs to state playoffs in succeeding years. Great idea, Scott.
I still hold by my suggestions in that we find some way to allow a more even distribution of assignments. Of all the available officials/crews that are available for each level of playoff, each chapter is allowed to submit, say, the top 5% of their chapters crews for available selection in a pool(similar to how baseball works). The coach still gets to pick, but it has to be from this pool of crews. Any open slots can be filled with another official in the list(for games with 7 man mech).
Finally, institute a chapter and crew cap per round. This would be dependent on the round because there would be more games to go around and we shouldnt limit a given chapter from working as many games as is logical. Something like 10-15 gms for rd 1, 7-12 rd 2, 5-8 rd 3, etc. These caps would exist for each division, not as a whole. For the crew cap there really should be a limit of 1 game every 3 days. Would anyone disagree that a crew that works Friday night is not as sharp on Saturday as they could be? You can work 2 games a round but it would have to be a Thu/Sat or Fri/Sun deal.